Link inputs, outputs and units
See this course’s project requirements
A linear-model comparison with tables, graphs, slope and intercept interpretations, a solved intersection and a limitation note.
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What to include
- Include input/output definitions and bounded domains.
- Provide checked tables and labeled linear graphs.
- Interpret rate and starting output with units.
- Solve an intersection and verify both outputs.
- Document a capacity-limited model and all changed-case checks.
Review and revise
Use these criteria to check your work and choose what to improve.
- Method: applies the course-specific rules to the supplied cases with visible intermediate work.
- Accuracy: results agree with the stated facts, units, boundaries and independent checks.
- Reasoning: explains why the result follows and identifies a limitation or unresolved question.
- Transfer: completes changed cases and revises the final project when a relevant assumption changes.
Want more background?
The idea in everyday life
Original case: A fictional tank starts with 12 L and gains 3 L each minute for four minutes. t is elapsed minutes; V(t)=12+3t.
A function gives exactly one output for each allowed input. The input domain and units matter: a table of a school-day process should not silently be used for negative time or unrelated situations.
Link inputs, outputs and units — worked practice
A function gives exactly one output for each allowed input. The input domain and units matter: a table of a school-day process should not silently be used for negative time or unrelated situations.
Original case: A fictional tank starts with 12 L and gains 3 L each minute for four minutes. t is elapsed minutes; V(t)=12+3t.
Case information
Paste at A1.
| ARecord | BGiven |
|---|---|
| Original case | Original case: A fictional tank starts with 12 L and gains 3 L each minute for four minutes. t is elapsed minutes; V(t)=12+3t. |
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1. 1. Define the mapping
State the input, output and allowed time.
You should see: Input: t in minutes, 0≤t≤4; output: volume in liters.
2. 2. Build a table
Evaluate the rule for t=0,1,2,3,4.
You should see: Outputs are 12,15,18,21,24 L.
3. 3. Read a value
Explain V(2)=18 in words.
You should see: After two minutes, the model tank contains 18 L.
4. 4. Check function status
Decide whether giving two different volumes for the same t would match this model.
You should see: One input must have one output; conflicting values require investigation.
What to finish
A labeled function rule and table with domain notes.
Watch for this
The rule was only specified for the four-minute process.
How can I tell I understand it?
Interpret a new function value without extending the stated domain silently.
Quick knowledge check
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Source & access notes · checked 2026-10-01
Web open/search showed the official page, its topic heading and relevant concept description. This is a content/source check, not a provider endorsement. Exact topic chapters were opened in web result turn 325view 0–14.
Access: Official page retrieved with the web reader on 2026-10-01; interactive tools and videos were not certified by retrieval.
Reuse: Original fictional teaching cases, calculations, questions and examples; link and short factual paraphrase only. No copied source exercises or illustrations.
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